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If (2, 1, -1) and (1, -1, -1) are direct...

If (2, 1, -1) and (1, -1, -1) are direction ratios of two lines, then the direction cosines of a line perpendicular to both the lines are

A

`(1/3,-1/3, 2/3)`

B

`(2/3, -1/3, 2/3)`

C

`(-2/3, -1/3, 2/3)`

D

`(2/sqrt(14), -1/sqrt(14), 3/sqrt(14))`

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DIPTI PUBLICATION ( AP EAMET)-DIRECTION COSINES AND DIRECTION RATIOS-EXERCISE 1
  1. The d.c.'s of the line joining the points A(4, 3, 1), B(-2, 1, -2) are

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  2. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are d.c's of two lines then find ...

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  3. If (2, 1, -1) and (1, -1, -1) are direction ratios of two lines, then ...

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  4. IF the d.r.'s of oversetharr(OA),oversetharr(OB) are (1, -2, -1), (3, ...

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  5. The direction ratios of two lines AB, AC are 1, -1, -1 and 2, -1, 1. T...

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  6. If (a(1), b(1), c(1)), (a(2), b(2), c(2)) are d.r.'s of two perpendicu...

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  7. If (a(1), b(1), c(1)), (a(2), b(2), c(2)) are d.r.'s of two perpendicu...

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  8. If the direction cosines of any two lines are (-2/3, 1/3, 2/3), (3/5, ...

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  9. The angle between the lines whose direction cosines are (sqrt(3)//4, 1...

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  10. If P(2, 3, -6), Q(3, -4, 5) are two points, then anglePOQ is

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  11. If P = (0, 1, 2), Q = (4, -2, 1), O = (0, 0, 0) then anglePOQ=

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  12. The cosine of the angle A of the triangle with vertices A(1, -1, 2), B...

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  13. The angle between the lines passing through the points (8, 2, 0), (4, ...

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  14. The angle between the line passing through the points (3, 1, -2) and (...

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  15. If A(3, 4, 5), B(4, 6, 3), C(-1, 2, 4) and D(1, 0, 5) are such that th...

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  16. If the d.r.'s of two lines are (1, -1, 0) and (1, -2, 1) then the angl...

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  17. If the line joining the points (k, 1, 2), (3, 4, 6) is parallel to the...

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  18. If the line joining the points A(4, 1, 2), B(5, x, 0) is parallel to t...

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  19. If the d.r.'s of two lines are (x, 3, 5) and (2, -1, 2) and if the ang...

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  20. If the line joining the points (2, 3, 4), (0, 1, 2) is perpendicular t...

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